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Profile

College / Department

College of Arts and Sciences
Department of Mathematics and Statistics

Teaching areas

Complex analysis, linear algebra, calculus, business mathematics.

Research areas

Weighted composition operators, Operator theory

Education

Bsc, University of Colombo, 1998
PhD, Purdue university, 2005

Professional experience

2013-present, Associate professor, American university of Sharjah.
2005-2013, Assistant professor, American university of Sharjah.
1998-2005, Teaching assistant, Purdue university

Contact

mgunatillake@aus.edu
+971 6 515 2914

Dr. Gajath Gunatillake

Associate Professor
PhD in Mathematics, Purdue University, USA

Gajath Gunatillake's area of research is operator theory and functional analysis. His teaching interests include complex analysis, linear algebra, calculus and mathematics for business.

Publications

Gunatillake, Gajath. "Hermitian Composition Operators on Hardy-Smirnov Spaces." Concrete Operators 4, no. 1 (2017): 1-11.
Gunatillake, Gajath, Jojovic Mirjana, and Smith Wayne. "Groups of Unitary Composition Operators on Hardy-Smirnov Spaces." Proceedings of the American Mathematical Society 143, no. 6 (2015): 2439-2449.
Griffin, James, and Gajath Gunatillake. "A Fractional Newton Series for the Riemann Zeta Function." International Journal of Applied Mathematics 27, no. 2 (January, 2014): 179-190.
Gunatillake, Gajath, Wayne Smith, and Mirjana Jojovic. "Numerical Ranges of Weighted Composition Operators." Journal of Mathematical Analysis and Applications 413 (November, 2013): 458-475.
Griffin, James, and Gajath Gunatillake. "Orthonormal Type Polynomials and Pell Equations." Integral Transforms and Special Functions (July, 2013):
Gunatillake, Mestiyage Don. "Invertible Weighted Composition Operators." Journal of Functional Analysis 261, no. 1 (January, 2011): 831-860.
G. Gunatillake, Compact Weighted Composition Operators on The Hardy Space, Proceedings of American Mathematical Society, 136(2008), 2895-2899
G. Gunatillake, Spectrum of a Weighted Composition Operator, Proceedings of AmericanMathematical Society,135(2007), 461-467.
C. Cowen, G. Gunatillake, E. Ko, Hermitian weighted composition operators and Bergman extremal functions, Complex analysis and function theory 7, no. 1 (February, 2013): 69-99.

Conference Presentations

American mathematical society, Joint mathematics meeting, January 2008.
ICMS10, March 2010.
American mathematical society, Joint mathematics meeting, January 2009.

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